that is precisely what I had happen
I would press the gas.. the rpms would drop for a split second.. hesitate and then go... once I even pressed the gas, and it sputtered for a good 3 seconds when I was making a left turn..
can you get the rpms over 3000 rpm? if you can't it's a good indicator that your maf sensor is gone
IMO it sounds like the MAF sensor to me .. dixie toyota has sold more than 300 maf sensors to corolla owners this year alone.
dealership will charge you 250 Canadian for the sensor (not too sure about american), try to look on ebay or somewhere around there before going to dealer.
If you are looking for the MAF sensor, it's right by the airbox just before the tube that goes into the throttle body..